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Finding the Fourth Proportional to 33,783.66, 50,680.95 and 14,062.98

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Solution

The fourth proportional to 33,783.66, 50,680.95 and 14,062.98 is: 21,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783.66 : 50,680.95 = 14,062.98 : x
  2. Step 2: Convert to fraction form
    33,783.66/50,680.95 = 14,062.98/x
  3. Step 3: Cross multiply
    33,783.66x = 50,680.95 × 14,062.98
  4. Step 4: Simplify right side
    33,783.66x = 712,725,186.23
  5. Step 5: Solve for x
    x = 712,725,186.23/33,783.66
  6. Step 6: Final answer
    x = 21,096.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.